Answer:
Step-by-step explanation:
7x + 3 = 10x - 5.4
Bringing like terms on one side
3 + 5.4 = 10x - 7x
8.4 = 3x
8.4/3 = x
2.8 = x
Hi. Please i need help with these . No jokes .
Question b : Find ;
the values of
1.alpha³+beta³ and 1/(alpha³) +1/(beta³)
2. the the equation whose roots are alpha³ and beta ³
9514 1404 393
Answer:
(a) 2, 6
(b) 155/8, -155, 8x² -155x -1 = 0
Step-by-step explanation:
(a) The equation in standard form is ...
x^2 -(4+k)x +4k +1 = 0
Then the discriminant is ...
(4+k)^2 -4(1)(4k+1) = 4^2 +8k +k^2 -16k -4 = k^2 -8k +12 = (k -2)(k -6)
The roots are equal when the discriminant is zero. The values of k that make the discriminant be zero are k=2 and k=6.
__
(b) a^3 + b^3 = (a +b)(a^2 -ab +b^2) = (a+b)((a+b)^2 -3ab)
= (5/2)((5/2)^2 -3(-1/2)) = (5/2)(25/4 +3/2) = 155/8 = α³ +β³
1/a^3 +1/b^3 = (a^3 +b^3)/(ab)^3 = (155/8)/(-1/2)^3 = -155 = 1/α³ +1/β³
The desired equation can be written from ...
(x -a^3)(x -b^3) = 0
x^2 -(a^3 +b^3)x +(ab)^3 = 0
x^2 -155/8x -1/8 = 0 . . . . .substituting known values
8x^2 -155x -1 = 0
What’s the solution to the equation
ANSWER: D
30.16=17.56+5x
30.16-17.56=5x
12.6=5x
x=12.6/5
x=2.52
HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN
What is the solution to the equation 3x + 2(x - 9) = 8x + X- 14?
O-8
-1
O1
O8
Answer:
-1
Step-by-step explanation:
Simplify both sides: 3x + (2(x) + 2(-9)) = 8x + x -14
Add/Combine like terms: 3x+2x= (5x-18) = (9x-14)
New Equation: 5x-18 = 9x-14
add 14 to both sides: 5x-4 = 9x
Subtract 5x from both sides: -4 = 4x
Divide both sides by 4 to get: -1 = x
Answer: x = -1
What is the range of y = x + 20?
write in standard form (×+4)(×-5)=4 find the value of a,b,c
Answer:
[tex]x^{2}[/tex] - x - 24 = 0
a = 1
b = 1
c = -24
Step-by-step explanation:
(x + 4)(x - 5) = 4
x(x - 5) = [tex]x^{2}[/tex] - 5x
4(x - 5) = 4x - 20
[tex]x^{2}[/tex] - 5x + 4x - 20 = 4
[tex]x^{2}[/tex] - x - 20 = 4
[tex]x^{2}[/tex] - x - 20 - 4 = 0
[tex]x^{2}[/tex] - x - 24 = 0
a = 1
b = 1
c = -24
the the slope and Y-intercept of -4x-2y=-8
Answer:
slope -2
y int (0, 4)
Step-by-step explanation:
Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups. After the party, 4 cups of juice were left over. At the party, how many cups did people drink? Show your work and complete the explanation of how you found your answer.
Answer:
60 cups
Step-by-step explanation:
Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups.
From the above question:
1 gallon of juice = 16 cups
Then:
4 gallons of juice = c
Cross Multiply
1 × c = 4 × 16 cups
c = 64 cups of juice
Hence, 4 gallons of juice = 64 cups of juice
We are told that :
After the party, 4 cups of juice were left over.
The cups of juice people drank at the party is calculated as:
Total cups of juice - Number of cups of juice left over.
64 cups of juice - 4 cups of juice
= 60 cups of juice
please answer this question
Answer:
The answer is the 3rd one or C
hope this helps:)
Step-by-step explanation:
A NIKE T-SHIRT WAS REDUCED FROM $60 TO $45. BY WHAT PERCENT WAS THE T-SHIRT REDUCED?
20%
30%
15%
25%
Answer:
25%
Step-by-step explanation:
the formula is:
1-(new price/old price), which =
1-(45/60)=
1-3/4=
4/4-3/4=
1/4=
.25 or 25%
Hope this helps! :)
I NEED HELPPP !!!!!!!
Answer:
84/B
Step-by-step explanation:
Angle measure 51 is vertical
45+51+A=180
A=84
What triangle is this ??? PLEASEE helpppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!
Answer:
isoscoles right
Step-by-step explanation:
I don’t know how to do this
Answer:
the following points: (6,-1),(2,-4), and (-2,3)
Step-by-step explanation:
imagine that the y axis is a mirror. Everything that happens is reflected. So (1,2) becomes (-1,2) so your three points are (-6, -1),(-2,-4), and (2,3) when you reflect them, you get the following points: (6,-1),(2,-4), and (-2,3)
which one of these tables shows a direct variation
Answer:
The first one
Step-by-step explanation:
A direct variation is when x and y are multiplied or divided by the same number. For example, in the first one y is always 8 times x. But, in the 2nd 3rd and 4th one that is not the case.
Hope this Helps!!! :)
Let me know in the comments if I should change anything or if the answer was perfect!!!
helppppppppppppppppp
Answer:
b There is No Solution for this system
Step-by-step explanation:
When graphing out equations, the two equations have to intersect at one point to have a solution. If they are parallel, it means that they will never intersect at one point and thus there is no solution for the system. A pair of lines would only have infinitely many solutions when both lines are at the same position travelling in the same direction, overlapping each other.
halp plz my mommy sayd that i neda awnsur this to pas my test!!!!!! i wil brainlist!!!! :))
John has 4 apples, he gives 2 to Karen. How many apples will John have if he give 2 more apples to Becky?
thx for haplin me!! :)
Question:
Each week, Tasha saves 80% of the money she earns babysitting and spends the rest. This week she earned $80.00.
How much more money did she save than spend this week?
Answer:
none. i better be right or else im jumping off my roof
3x+2(2x−1)=33
what is x?
Answer:
x = 5
Step-by-step explanation:
3x + 2(2x − 1)= 33
simplify
3x + 4x - 2 = 33
7x - 2 = 33
add 2 to both sides
7x - 2 + 2 = 33 + 2
7x = 35
divide both sides by 7
7x/7 = 35/7
x = 5
What is the perimeter of the parallelogram?
29 cm
80 cm
58 cm
32 cm 2
Answer:
199 [tex]cm^{2}[/tex]
Step-by-step explanation:
Answer:
58 CM
Step by Step explanation.
Find the median number of flying saucers.
1, 2, 4, 8, 21, 27
4+8= 12
12÷2= 6
Answer:
6
El triple de un numero n menos 4 es -19
Answer:
3n - 4 = -19, n = -5
Step-by-step explanation:
Primero tienes que sumar cuatro a ambos lados y obtener tres veces n es igual a menos quince. Luego, divide tres en ambos lados para obtener n es igual a -5
The mean number of robberies per month in a certain town is 3. What is the probability that in any given month 5 robberies will occur in this town?
0.01
0.14
0.265
0.916
Answer:
i think its c but not 100% tbh
Step-by-step explanation:
In the parallelogram shown, AE = t + 2, CE = 3t − 14, and DE = 2t + 8.
Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E.
What is the length of line segment DB?
20 units
24 units
48 units
68 units
Answer:
48 units
Step-by-step explanation:
The length of line segment DB is 48 units
What are parallelograms?Parallelograms are shapes with opposite parallel sides
Start by calculating the measure of t using:
AE = CE --- the diagonals
So, we have
3t - 14 = t + 2
Collect like terms
3t - t = 14 + 2
Evaluate
t = 8
The length of segment DB is calculated as;
DB = 2 * DE
So, we have:
DB = 2 * (2t + 8)
Substitute 8 for t
DB = 2 * (2* 8 + 8)
Evaluate
DB = 48
Hence, the length of line segment DB is 48 units
Read more about parallelograms at:
https://brainly.com/question/2834871
Please help!!!! I don’t get it
Answer:
x = 9
m<b = 54
m<e = 54
Step-by-step explanation:
Which equation has a graph that is a parabola with a vertex at (1,HI)?
Oy=(-12+1
O y--1-
O y=(«+ 1) +1
O y=x+1)-1
Answer:
[tex]y = (x +1)^2 - 1[/tex]
Step-by-step explanation:
Given
[tex]Vertex = (-1,-1)[/tex]
Required
Determine the equation
The equation of a graph from a vertex is:
[tex]y = a(x - h)^2 + k[/tex]
Where
[tex]a = 1[/tex]
[tex](h,k) = (-1,-1)[/tex]
Substitute these values in [tex]y = a(x - h)^2 + k[/tex]
[tex]y = 1(x - (-1))^2 + (-1)[/tex]
Express -(-1) as 1
[tex]y = 1(x +1)^2 + (-1)[/tex]
Express +(-1) as -1
[tex]y = 1(x +1)^2 - 1[/tex]
[tex]y = (x +1)^2 - 1[/tex]
Hence, the equation is:
[tex]y = (x +1)^2 - 1[/tex]
16
Jamar skis down Mount Spalding at a constant rate. After skiing for two minutes, Jamar is at an elevation of 2,100 feet. After skiing for 5 minutes, Jamar is at an
elevation of 150 feet. What is the rate of change, in feet per minute, of Jamar's elevation?
A-700
B
-650
С
650
D 700
please help 100 points
Answer:
thx
Step-by-step explanation:
10.) Sally cooks 6 pies and each pie is cut into 8 pieces. If she sells 36 pieces, what percentage did she sell
MATHHHH!!!! PLZZZZ!!! HELP!!!
Please Help!!
Triangle ABC has vertices A (3,4), B (-5,2), and C (1,4).
Determine
a) an equation for CD, the median from C to AB
i. Find the coordinates of D (th mid point).
I need help on this question if you can I'll give you brainliest and 20 points
Expand and simplify
(4 + 2)(6-12)
Give your answer in the form b+cV2
Note: Consider the expression is [tex](4+\sqrt{2})(6-\sqrt{2})[/tex].
Given:
[tex](4+\sqrt{2})(6-\sqrt{2})[/tex]
To find:
The value of given expression in the form of [tex]b+c\sqrt{2}[/tex].
Solution:
We have,
[tex](4+\sqrt{2})(6-\sqrt{2})[/tex]
Using distributive property, we get
[tex]=4(6-\sqrt{2})+\sqrt{2}(6-\sqrt{2})[/tex]
[tex]=4(6)+4(-\sqrt{2})+\sqrt{2}(6)+\sqrt{2}(-\sqrt{2})[/tex]
[tex]=24-4\sqrt{2}+6\sqrt{2}-2[/tex]
On combining like terms, we get
[tex]=(24-2)+(6\sqrt{2}-4\sqrt{2})[/tex]
[tex]=22+2\sqrt{2}[/tex]
On comparing with [tex]b+c\sqrt{2}[/tex], we get
[tex]a=22,b=2[/tex]
Therefore, the required form is [tex]22+2\sqrt{2}[/tex].